133130000203200 has 4032 divisors, whose sum is σ = 680914670671872. Its totient is φ = 23762858803200.

The previous prime is 133130000203147. The next prime is 133130000203261. The reversal of 133130000203200 is 2302000031331.

133130000203200 is a `hidden beast` number, since 1 + 331 + 300 + 0 + 0 + 2 + 0 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12266648974 + ... + 12266659826.

It is an arithmetic number, because the mean of its divisors is an integer number (168877646496).

Almost surely, 2^{133130000203200} is an apocalyptic number.

133130000203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133130000203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340457335335936).

133130000203200 is an abundant number, since it is smaller than the sum of its proper divisors (547784670468672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133130000203200 is a wasteful number, since it uses less digits than its factorization.

133130000203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10954 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133130000203200 its reverse (2302000031331), we get a palindrome (135432000234531).

The spelling of 133130000203200 in words is "one hundred thirty-three trillion, one hundred thirty billion, two hundred three thousand, two hundred".